| 1 | Application of Hilbert's Projective Metric on Symmetric Cones显示文摘Let Ω be a symmetric cone. In this note, we introduce Hilbert's projective metric on Ω interms of Jordan algebras and we apply it to prove that, given a linear invertible transformation g suchthat g(Ω)=Ω and a real number p,|P|>1, there exists a unique element x ∈Ω satisfying g(x)=x^p. | Khalid KOUFANY | 2006 | Acta Mathematica Sinica,English Series2006，22，5： | 2 |
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